Abstract

The concept of accuracy in mathematics is something that is rarely discussed. It is taken for granted, mainly because the various symbolic tools of the discipline, such as the digits and its equations, are meant to have a precise interpretation within the primary referential field. Yet, mathematics is full of inaccuracies and imprecise notions and techniques. The science of limits or the calculus, for example, is the science of imprecision, since it is based on the notions of “approximation”. Yet, the calculus is a marvelous tool of science and discovery. This paper looks at this paradox in a general way considering the relation between mathematics as a sign system and its ability to glean discoveries from within its own system.